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53531205200 = 245211109311131
BaseRepresentation
bin110001110110101101…
…010101111001010000
312010011200101222111122
4301312231111321100
51334112442031300
640331503301412
73603360510434
oct616655257120
9163150358448
1053531205200
112077aa73860
12a45b5aa868
135081513a65
14283b6d29c4
1515d48b7c85
hexc76b55e50

53531205200 has 120 divisors (see below), whose sum is σ = 140441401056. Its totient is φ = 19446336000.

The previous prime is 53531205197. The next prime is 53531205209. The reversal of 53531205200 is 250213535.

It is a self number, because there is not a number n which added to its sum of digits gives 53531205200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53531205209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4803635 + ... + 4814765.

Almost surely, 253531205200 is an apocalyptic number.

53531205200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53531205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70220700528).

53531205200 is an abundant number, since it is smaller than the sum of its proper divisors (86910195856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53531205200 is a wasteful number, since it uses less digits than its factorization.

53531205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253 (or 12242 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 53531205200 its reverse (250213535), we get a palindrome (53781418735).

The spelling of 53531205200 in words is "fifty-three billion, five hundred thirty-one million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1093 1100 2186 2200 4372 4400 5465 8744 10930 11131 12023 17488 21860 22262 24046 27325 43720 44524 48092 54650 55655 60115 87440 89048 96184 109300 111310 120230 122441 178096 192368 218600 222620 240460 244882 278275 300575 437200 445240 480920 489764 556550 601150 612205 890480 961840 979528 1113100 1202300 1224410 1959056 2226200 2404600 2448820 3061025 4452400 4809200 4897640 6122050 9795280 12166183 12244100 24332366 24488200 48664732 48976400 60830915 97329464 121661830 133828013 194658928 243323660 267656026 304154575 486647320 535312052 608309150 669140065 973294640 1070624104 1216618300 1338280130 2141248208 2433236600 2676560260 3345700325 4866473200 5353120520 6691400650 10706241040 13382801300 26765602600 53531205200